In supergravity it is suggested in [1]} that \(\Lambda ^2 \sim 10^{-8} M_{Pl}^2\)  for \(e^{2t} \sim {\cal O} (1)\) . i.e. 8 order of magnitude below the Planck mass squared. It means that the smallest value of \(|M_1^2|\)  is \(10^3 \Lambda ^2 \sim 10^{-5} M_{Pl}^2\) . Clearly, the cut-off assumption is inconsistent with these numbers.
